JeopardyNormal Distribution

BinomialTheorem

BinomialDistribution

Measuresof Center

Probability

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Final Jeopardy

$100 Question from H1

On a standardized aptitude test, scoresare normally distributed with a mean of 100 and a standard deviation of 10.Find the PERCENT of scores that areover 110.

$100 Answer from H1

15.8%

$200 Question from H1

On a standardized aptitude test, scoresare normally distributed with a mean of 100 and a standard deviation of 10.Find the PERCENT of scores that areless than 80.

$200 Answer from H1

2.2%

$300 Question from H1

On a standardized aptitude test, scoresare normally distributed with a mean of 100 and a standard deviation of 10.The lowest 15.8% percent of scores were below what total?

$300 Answer from H1

90

$400 Question from H1

On a standardized aptitude test, scoresare normally distributed with a mean of 100 and a standard deviation of 10.What score separates the highest 2.2%of all students from the rest of their peers?

$400 Answer from H1

120

$500 Question from H1

On a standardized aptitude test, scoresare normally distributed with a mean of 100 and a standard deviation of 10.If 100 students took the test, about how many students had a score between80 and 110?

$500 Answer from H1

81 or 82 students

$100 Question from H2

Find the coefficient of the fourth term of the expression (x + 3)4

$100 Answer from H2

4

$200 Question from H2

Find the coefficient of the sixth term of the binomial (3x – 5)8

$200 Answer from H2

56

$300 Question from H2

Find the middle term of the binomial (2x – 3)4

$300 Answer from H2

216x2

$400 Question from H2

Expand the following binomial:(3x + 2)5

$400 Answer from H2

243x5 + 810x4 + 1080x3 + 720x2 + 240x + 32

$500 Question from H2

Find the eleventh term of the binomial (x2 + 3)12

$500 Answer from H2

673,596x12

$100 Question from H3

In a poll, 58% of students believe Mr. Bill is the greatest thing since sliced bread. Find the probability that out of 35 students, exactly 21 said they think Mr. Bill is the greatest thing since sliced bread.

$100 Answer from H3

0.133 or 13.3%

$200 Question from H3

A student randomly guesses at 20 multiple choice questions on his AFM Midterm. Each question has four possible answers with only one being correct, and each is independent of every other question. Find the probability of guessing less than 7 correct.

$200 Answer from H3

.786 or 78.6%

$300 Question from H3

In a poll, 58% of students believe Mr. Bill is the greatest thing since sliced bread. Find the probability that out of 35 students, at least 25 students think Mr. Bill is the greatest thing since sliced bread.

$300 Answer from H3

.073 or 7.3%

$400 Question from H3

There are 13 members on a committee. The probability of any member attending a randomly chosen meeting is 0.7. The committee cannot do

business if more than 2 members are absent. What is the probability that more than 10 will be present

on a given date?

$400 Answer from H3

.202 or 20.2%

$500 Question from H3

In Charlotte, 59% of adults own their home and 41% rent. A sample of 18 adults is taken. Find the probability that the sample will have at least half home-owners.

$500 Answer from H3

.845 or 84.5%

$100 Question from H4

What is the mode of the set of the following set of values:

49,12,36,7,14,5,49,2,49,7,

$100 Answer from H4

49

$200 Question from H4

The set of scores on a mathematics test is:72,78,63,58,83,91,49,67,80, and 72.

What is the mean score?

$200 Answer from H4

71.3

$300 Question from H4

The ages of five children in a family are 4,4,9,13, and 15. Which statement is

true for this group of data?

a) mode > meanb) mean > medianc) median > moded) median = mode

$300 Answer from H4

c) Median > Mode

$400 Question from H4

Is there always a median for a set of data? Why?

$400 Answer from H4

Yes because a set of data will always have more than one term. Thus, there will

always be a middle point for the data.

$500 Question from H4

If the scores 17, 14, 9, 18, 21, and x have a mean of 15, what is the value of x?

$500 Answer from H4

X = 11

$100 Question from H5

Determine the number of arrangements that can occur in

choosing four ingredients from the ten ingredients in an ice cream bar?

$100 Answer from H5

210

$200 Question from H5

What is the probability of rolling a fair die, and rolling a 3, a multiple of 3, and then a 2?

Express your answer as a percent.

$200 Answer from H5

0.9%

$300 Question from H5

Mom’s cookie jar contains 8 chocolate chip cookies, 11 oatmeal cookies, and 7 peanut butter cookies. What is the probability of selecting two

chocolate chip cookies in a row, and then a peanut butter cookie, if you eat each cookie before the next one is pulled out of the jar?

Express your answer as a decimal.

$300 Answer from H5

0.025

$400 Question from H5

How many different six-letter permutations can be formed from the

letters of the word “HUBBUB”?

$400 Answer from H5

60

$500 Question from H5

A college committee of 30 students, all freshmen and sophomores, at UNC Charlotte is forming to memorialize the grand accomplishments of Mr. Bill in college. Eight of the nineteen females are sophomores, and three of the males are freshmen. One committee member is chosen at random. What is the probability of selecting a sophomore or a female?

$500 Answer from H5

90%

Final Jeopardy

If the probability of giving birth to a baby male gorilla is 0.54, what is the probability of giving birth to 3

female gorillas in a row?Express your answer as a

percent.

Final Jeopardy Answer

9.7%